Write the phrase as an expression. Then simplify the expression. 7 plus the sum of a number x and 5

Answer: Markup is the amount added to the cost price (wholesale price) to arrive at the selling price.

A markup of 35% means that the selling price will be 35/100 = 0.35 times the cost price more than the cost price.

If the boutique pays $30 for a sweater, the markup amount on this sweater is $30*0.35 = $10.5

Therefore, the selling price of the sweater will be the cost price plus markup amount, or $30 + $10.5 = $40.5

So the sale price of the sweater will be $40.5

Step-by-step explanation:

The line crosses the Oy axis in A(0,  y), so x=0 and we have:

y + 4=11 ⇒ y = 7

Y is equal to 7 at the line's intersection with the y-axis.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

The point where the line crosses the y-axis is when x = 0. To find the value of y at this point,

we can substitute x = 0 into the equation and solve for y:

y + 4 = 6(0) + 11

y + 4 = 11

y = 11 - 4

y = 7

Therefore, the value of y at the point where the line crosses the y-axis is 7.

Learn more about Linear equations here:

https://brainly.com/question/11897796

#SPJ2

By understanding the definition of the statistics method, it can be concluded that 57% is an example of the result of inference statistics.

In statistics, the population is defined as the entire research subject, while the sample is a representative or part of the population, which has the same characteristics that can describe and represent the entire population.

There are two methods used to perform data analysis:

a. Descriptive statistics: an analytical method used to describe the characteristics of data. The end result of this method is in the form of tables, charts, graphs, etc.

b. Inference statistics: an analytical method used to draw conclusions about a population based on a sample. The end result of this method is in the form of a possibility or probability and is expressed in percent units.

If we look at the given problem, it is stated that "in a sample of 1,600 registered voters, 912 or 57% approve of the way the president is doing his job"

By understanding the definition of descriptive and inference statistics, it can be concluded that 57% is an example of the result of Inference statistics.

To learn more about inference statistics, click here: https://brainly.com/question/20262982

#SPJ4

There are 40320 ways the 8 horses can finish the race in terms of color combination.

The number of color combinations in which the horses can finish is determined by the number of ways the 8 horses can be arranged.

This is known as a permutation.

The formula for permutation is:

n! / (n-r)!

where:

n = total number of items

r = number of items being selected at a time

In this case, we want to know the number of ways the 8 horses can be arranged in a race, so we will use 8 for n and 8 for r.

8! / (8-8)! = 8! / 0! = 8! = 8x7x6x5x4x3x2x1 = 40,320

So, there are 40320 ways the 8 horses can finish the race in terms of color combination.

Learn more about permutation at : https://brainly.com/question/1216161

#SPJ4

Answer:

Choice A and C

Step-by-step explanation:

If 1 magnet costs $5, then 3 magnets cost $15 because adding 3 magnets to your bag, would equal to 5+5+5, or 5x3. If 1 bookmark cost $2, then 9 bookmarks would cost $18 to your bag, which would equal 9+9, or 9x2.

So, C is correct because 5x3 is 15, and 2x9 is 18. A is also correct because it's just the other way around, 2x9=18 and 5x3=15.

Answer:

rhombus

Step-by-step explanation:

All of the equations that are equivalent to n − 9 = 12 include the following:

A. n - n - 9 = 12 - n

D. n - 9 - n = 12 - n

In this exercise, you are to determine the equations that are equivalent to the given equation (mathematical expression). This ultimately implies that, the left-hand side (LHS) of the given equation (mathematical expression) must be equal to the left-hand side (LHS) of the given equation (mathematical expression).

By substracting the variable n from both sides of the given equation (mathematical expression), we have the following:

n - 9 - n = 12 - n (equivalent)

By collecting terms and rearranging the equation (mathematical expression), we have the following:

n - n - 9 = 12 - n (equivalent).

Read more on expressions here: brainly.com/question/17361494

#SPJ1

The sizes of the the angles x and y in the trapezium are 48° and 115° respectively.

A trapezium is a quadrilateral and the sum of interior angles is 369° and also two angles on the same side are supplementary, that is the sum of the angles of two adjacent sides is 180°.

x + 132° = 180° {adjacent angles}

x = 180° - 132° {subtract 132° from both sides}

x = 48°

y + 65° = 180° {adjacent angles}

y = 180° - 65° {subtract 65° from both sides}

y = 115°

Therefore, the sizes of the adjacent angles x and y of the trapezium are 48° and 115° respectively.

Know more about trapezium here:https://brainly.com/question/1463152

#SPJ1

Answer:

5

Step-by-step explanation:

2,4,6,8,10

To graph the transformation of a logarithmic function, you will need to start by plotting the parent function. To graph the transformation of a logarithmic function, you should start by plotting the parent function and then apply the transformation by shifting, stretching, shrinking, and reflecting the graph.

This can be done by plotting points on the graph for a few different values of x. Once the parent function is graphed, you can then apply the transformation to the parent function. This can be done by shifting the graph up or down, stretching or shrinking it, and reflecting it across the x-axis or y-axis.

To graph the transformation of a logarithmic function, you should start by plotting the parent function and then apply the transformation by shifting, stretching, shrinking, and reflecting the graph.

Learn more about function here

https://brainly.com/question/29633660

#SPJ4

150 pounds of candy priced at 45 dollar should be coupled with 200 pounds of candy priced at 80 dollar .

As different sweets are not distributed evenly, a mixture of various candies in a container is an example of a heterogeneous mixture. In addition, since the particles of various sweets do not interact, different candies are visible with the eye.

Let "x" stand for the number of pounds of candy costing 45 Dollar per pound, and "(350-x)" for the number of pounds of candy costing 80 Dollar per pound. The decimal equivalents of 45, 80, and 65 Dollar are 0.45, 0.80, and 0.65.

350*0.65=0.45x+(350-x)0.80

Solve it for x

x=150

350-150=200

Thus, 150 pounds of candy priced at 45 cents should be coupled with 200 pounds of candy priced at 80 cents.

To know more about Dollar visit

brainly.com/question/29846475

#SPJ4

Standard form of polynomial  [g(x)-f(x)]  is   2[tex]x^{4}[/tex] -3/5[tex]x^{2}[/tex]+2x+7.

Ax+By=C is the typical form for linear equations involving two variables. A linear equation in standard form is, for instance, 2x+3y=5. Finding both intercepts of the equation in this format is rather simple (x and y).

A polynomial example is 4 x 3 + 2 x 2 3 x + 1. There are four terms: 1, 4 x 3, 2 x 2, and 3 x. The coefficients are the numbers that are written in front of each variable in a phrase. Because those numbers appear in front of a variable, 4, 2, and -3 are coefficients.

polynomial [g(x)-f(x)] = 8+ 1/5[tex]x^{2}[/tex]+3x+2 -( -2[tex]x^{4}[/tex] -1 + 4/5[tex]x^{2}[/tex] -x )

                                   2[tex]x^{4}[/tex] -3/5[tex]x^{2}[/tex]+2x+7

To know more about  standard form visit:-

https://brainly.com/question/8609193

#SPJ1

The amount of money that she invested in each account will be $2,272.73 and $7,727.27.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A business invests a total of $10,000 at 4.12 % and 5% simple interest. During one year, the two accounts earn $480.

Let 'x' be the amount invested with 4.12%. Then the amount of investment with 5% will be ($10,000 - x). Then the equation is given as,

(x · 4.12 · 1) / 100 + [($10,000) · 5 · 1] / 100 = $480

Simplify the equation, then we have

(x · 4.12 · 1) / 100 + [($10,000 - x) · 5 · 1] / 100 = $480

0.0412x + $500 - 0.05x = $480

0.0088x = $20

x = $2,272.73

Then the investment in other account is calculated as,

⇒ $10,000 - $2,272.73

⇒ $7,727.27

The amount of money that she invested in each account will be $2,272.73 and $7,727.27.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ1

The polynomial [tex]x^{3}[/tex] + 8 is equal to (x + 2)([tex]x^{2}[/tex] – 2x + 4).

What is polynomial ?

In mathematics, a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. An example of a polynomial of a single indeterminate x is x2 − 4x + 7.

The given expression is

[tex]x^{3}[/tex] + 8

It can be rewritten as

[tex]x^{3}[/tex] + [tex]2^{3}[/tex]

Formula for sum of cubes:

[tex]x^{3} + y^{3} = (a+b)(x^{2} -xy+y^{2} )[/tex]

For the given expression a=x and b=2.

[tex]x^{3}[/tex] + [tex]2^{3}[/tex] =  (x + 2)([tex]x^{2}[/tex] – 2x + 4).

[tex]x^{3}[/tex] + 8 =  (x + 2)([tex]x^{2}[/tex] – 2x + 4).

Therefore , The polynomial [tex]x^{3}[/tex] + 8 is equal to (x + 2)([tex]x^{2}[/tex] – 2x + 4).

To learn more about polynomial visit : brainly.com/question/11536910

#SPJ4

The value of a polynomial at a particular point is defined as the value that the provided function yielded at that moment.

As an illustration, consider the polynomial function (x) = x + 1.

When x = 1 for example, the polynomial at that point is given by P(1) = 1+1 = 2.

Consequently, the polynomial P(x) has a value of 2 when x equals 1.

'What are polynomials?'

Algebraic expressions called polynomials include coefficients and variables. Indeterminates are another name for variables. For polynomial expressions, we can do mathematical operations like addition, subtraction, multiplication, and positive integer exponents but not division by variables.

know more about variables here

https://brainly.com/question/15740935#

#SPJ4

Answer: 5/49

Step-by-step explanation:

To make a 360mL mixture that contains 9% vinegar, use 240mL of the first brand and 120mL of the second brand.

What is an equation?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.

You want to set up an equation that will match the word problem. Let's call the amount of the first brand, F, and the amount of the second brand, S.

We want the total mixture to be 360mL so: F + S = 360

Also, you want the total mixture to contain 9% vinegar so:

.08F + .11S = .09(360)

Now, we can solve the system of equations using substitution.

F + S = 360

.08F + .11S = .09(360)

F = 360 - S      [solve 1st equation for F]

.08(360 - S) + .11S = .09(360)     [substitute into 2nd equation]

28.8 -.08S +.11S = 32.4

.03S = 3.6

S = 120

F + 120 = 360     [substitute answer for S back into original equation]

F = 240

Answer: To make a 360mL mixture that contains 9% vinegar, use 240mL of the first brand and 120mL of the second brand.

To learn more about the equation from the given link

https://brainly.com/question/28218072

#SPJ1

The distance between two places can be calculated using various methods:

a. Distance = √ ( x₂ - x₁)² + ( y₂ - y₁)²

b. Distance = Speed × time taken

As given in the question,

Distance between two places can be calculated using various techniques:

a. If the coordinates of the two points representing the places are given as (x₁ , y₁) and (x₂ , y₂ ) then

distance between two places  = √ ( x₂ - x₁)² + ( y₂ - y₁)²

b. If the distance travelled between two place with known speed and time taken to cover that distance then

Distance =  Speed × time taken

If the distance between two places is small then it can be calculated using any measuring scale.

Therefore, the distance between the two given places is given by :

a. Distance = √ ( x₂ - x₁)² + ( y₂ - y₁)²

b. Distance = Speed × time taken

Learn more about distance here

brainly.com/question/15172156

#SPJ4

∠u,∠x→ Alternative interior angle.

∠w,∠s→Corresponding angle

∠t,∠y→Alternative exterior angle.

∠s,∠t→Supplementory angle

∠w,∠y→Supplementory angle

∠t,∠x→Corresponding angle

∠w,∠z→vertical angle

∠v,∠w→ Alternative interior angle.

∠v,∠z→Corresponding angle

∠s,∠z→Alternative exterior angle.

∠t,∠u→Vertical angle

∠w,∠x→Supplementory angle

∠w,∠s→Corresponding angle

∠s,∠v→Vertical angle

∠x,∠z→Supplementory angle

What is the supplementary angle?

When two angles add up to 180 degrees, they are called supplementary. To avoid confusion, remember that s comes after c in the alphabet and that 180 is greater than 90.

supplementary angles:

∠x,∠z; ∠w,∠x; ∠w,∠y;∠s,∠t

Corresponding angles:When two parallel lines intersect any other line, corresponding angles are formed in matching corners or corresponding corners with the transversal (i.e. the transversal). Angles p and w, for example, are the corresponding angles in the figure below.

Corresponding angles are ∠w,∠s; ∠v,∠z; ∠t,∠x.

Vertical angles: Vertical angles are the angles formed when two lines intersect. The term "vertical" in this context refers to the fact that they share the same Vertex (corner point), rather than the usual meaning of up-down.

∠s,∠v; ∠t,∠u; ∠w,∠z

Alternate interior angles :When two lines are cut by a third line, a transversal, the term alternate interior angles is frequently used. If k and l are parallel, then the pairs of alternate interior angles are congruent, according to the Alternate Interior Angles Theorem.

Alternate Interior Angles: ∠u,∠x; ∠v,∠w.

Similarly alternative exterior angles are: ∠s,∠z; ∠t,∠y.

To learn more about transversal, click on the below link:

https://brainly.com/question/17905944

#SPJ1

The sample size for the Domestic cars should be around 129 and the sample size for the Foreign cars should be around 135.

To determine the sample size, one can use the formula n = (z^2 * p * (1-p)) / (E^2) where n is the sample size, z is the z-score for the desired level of confidence (in this case, 98% or 2.33), p is the estimated proportion of successes (assumed to be 0.5), and E is the margin of error.

Using the above formula, n = (2.33^2 * 0.5 * (1-0.5)) / (7^2) = 129. For the foreign cars, n = (2.33^2 * 0.5 * (1-0.5)) / (8^2) = 135. These sample sizes will allow the car expert to estimate the mean number of days to sell for each group of cars with a margin of error of seven days for domestic cars and eight days for foreign cars, at a 98% confidence level.

To know more about estimated proportion click below:

https://brainly.com/question/29436481#

#SPJ4

The probability that a household subscribes to cable tv and netflix is 0.32.

Given data :

We know that from they gave us, cable tv have 70% , Netflix have 55%

so,   C = 70% / 100% = 0.7

N = 55% / 100% = 0.55

The probability of both C and N is ;

   = [tex]\frac{42}{70 + 55}[/tex] %  = 0.318 ≅ 0.32

Learn more about Probability refer to :

https://brainly.com/question/13604758

#SPJ4

Triangle AFC is the triangle that appears to be consistent with triangle AFD.

Shapes that are identical to one another are said to be congruent. Both the matching sides and the corresponding angles match. There is an obtuse angle, or angle AFD, same like in the give triangle AFD.

Therefore, the opposite triangle must have an obtuse angle in order to be a congruent triangle. Only triangle AFC, out of the three that are given, has an acute angle. Additionally, they both support the same side, increasing the likelihood of congruence. There is no obtuse angle in the triangles BFC and DFE.

Learn more about congruent Visit: brainly.com/question/2938476

#SPJ4

There are 24 ways for the vote of the favorite, second favorite, and third favorite band to be cast.

The list contains 4 bands.

Out of these 1 band is Alonzo's favorite, 1 is his second favorite and another is his 3rd favorite

Now to choose his favorite Alonzo has 4 choices. Hence there are 4 ways to cast this vote.

Now since one band has been chosen, Alonzo is left with 3 bands on the list, hence he has 3 ways to cast the vote for the second favorite.

For the last vote of 3rd favorite, there are2 options available, hence this can be done in 2 ways.

Hence we get the total number of ways to be

4 X 3 X 2 ways

= 24 ways

To learn more about Combinations visit

https://brainly.com/question/29110744

#SPJ4

Answer:

Step-by-step explanation:

You have to rationalize the denominator by multiplying by a unit multiplier of the conjugate of it which is 1+5i:

[tex]\frac{-3+5i}{1-5i}*\frac{1+5i}{1+5i}[/tex] You will FOIL the top and the bottom to get

[tex]\frac{-3-15i+5i+25i^2}{1+5i-5i-25i^2}[/tex].  Combine like terms to get

[tex]\frac{-3-10i+25i^2}{1-25i^2}[/tex].  Remember that i-squared = -1, so this simplification then becomes:

[tex]\frac{-3-10i+25(-1)}{1-25(-1)}[/tex] which simplifies a bit more to

[tex]\frac{-3-10i-25}{1+25}=\frac{-28-10i}{26}[/tex]  but we need to make sure we can match our answer to one of the ones given, so we'll split up that numerator over the denominator to get:

[tex]-\frac{28}{26}-\frac{10i}{26}[/tex] which then goes down to

[tex]-1\frac{1}{13}-\frac{5i}{13}[/tex] which is choice a.

The additive inverse of -4 is 4.

In mathematics, the additive inverse of a number is the number that, when added to the original number, results in a sum of zero. So for any number x, the additive inverse of x is -x. Therefore, the additive inverse of -4 is 4 because (-4) + 4 = 0.

The concept of additive inverse is used in many areas of mathematics, such as algebra, where it is used to solve equations and simplify expressions.

For example, if you have an equation such as x + (-4) = 0, you can simplify it by adding 4 to both sides, which results in x = 4. This is because 4 is the additive inverse of -4, and when added to -4, the sum is zero.

Another application of additive inverse is in linear algebra when working with vector space. Additive inverse is also used in cryptography and error correction codes.

It also could be used in many other fields like physics, finance and engineering.

Learn more about additive inverse here:

https://brainly.com/question/13715269

#SPJ4

Answer:

its a you did got it correct

Step-by-step explanation:

had that test 2 years ago

Answer: A conclusion drawn from a study is considered to be an observation or an inference based on the data collected. In this case, the dentist conducted a survey to determine whether a certain brand of mouthwash improves gum health more than others. The conclusion drawn from the survey results is that the brand of mouthwash in question does improve gum health more than other brands.

It is important to note that this conclusion is based on the sample of patients that were surveyed. A sample is a subset of a population that is used to represent the characteristics of the entire population. In this instance, the sample of patients surveyed may not be representative of the entire population of people who use mouthwash. Therefore, the conclusion drawn from the study is based on the sample and may not be generalizable to the entire population.

The study conducted by the dentist is a survey study. A survey study is a research method in which data is collected through questionnaires or interviews from a sample of individuals.

Step-by-step explanation:

Answer:

Step-by-step explanation:

First, put the equation of the line given into slope-intercept form by solving for y. You get y = -2x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6.

11. a. GH ≅ AX and b. ∠W ≅ ∠F  

12. a. ∠T ≅ ∠K  and b. THPA ≅ KEBI

13. a. The relation between ∠S and ∠H is ∠S ≅ ∠H and the measure of ∠S = 90  

Figures and shapes that may be reversed or rearranged such that they match up with other figures and shapes are said to be congruent. These forms can be mirrored to create these shapes.

Two triangles are considered to be congruent when all three corresponding sides and angles have the same size.

11. Given ΔFGH ≅ ΔWAX  

Here is the corresponding side to GH is AX and the corresponding angle to the angle ∠W is ∠F  

a. GH ≅ AX

b. ∠W ≅ ∠F  

12. Given that BIKE ≅ PATH      

Here the corresponding angle to the angle ∠T is ∠K

a. ∠T ≅ ∠K

b. THPA ≅ KEBI

13. In ΔHOT and ΔSUN

∠O ≅ ∠U and ∠T ≅ ∠N

Since two pairs of angles are congruent  

a. The relation between ∠S and ∠H is ∠S ≅ ∠H

b. Given that ∠O = 27 and  ∠T = 63  

As we know the sum of angles in a triangle = 180°

=> ∠H + ∠O + ∠T = 180

=> ∠S + 27 + 63 = 180   [ ∵ ∠S ≅ ∠H ]

=> ∠S = 180 - 90 = 90

=>  ∠S = 90  

Therefore,

11. a. GH ≅ AX and b. ∠W ≅ ∠F  

12. a. ∠T ≅ ∠K  and b. THPA ≅ KEBI

13. a. The relation between ∠S and ∠H is ∠S ≅ ∠H and the measure of ∠S = 90  

Learn more about Congurrency of triangles at

https://brainly.com/question/29067762

#SPJ1